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Finding the Fourth Proportional to 644.66, 967.14 and 182.44

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Solution

The fourth proportional to 644.66, 967.14 and 182.44 is: 273.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.66 : 967.14 = 182.44 : x
  2. Step 2: Convert to fraction form
    644.66/967.14 = 182.44/x
  3. Step 3: Cross multiply
    644.66x = 967.14 × 182.44
  4. Step 4: Simplify right side
    644.66x = 176,445.02
  5. Step 5: Solve for x
    x = 176,445.02/644.66
  6. Step 6: Final answer
    x = 273.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.